What is the Least Common Multiple of 49776 and 49788?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49776 and 49788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49776 and 49788, than apply into the LCM equation.

GCF(49776,49788) = 12
LCM(49776,49788) = ( 49776 × 49788) / 12
LCM(49776,49788) = 2478247488 / 12
LCM(49776,49788) = 206520624

Least Common Multiple (LCM) of 49776 and 49788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49776 and 49788. First we will calculate the prime factors of 49776 and 49788.

Prime Factorization of 49776

Prime Factorization of 49788

Now multiplying the highest exponent prime factors to calculate the LCM of 49776 and 49788.

LCM(49776,49788) = 2⁴ × 3³ × 17¹ × 61¹ × 461¹
LCM(49776,49788) = 206520624